Sato-Tate group search results

Results (4 matches)

 

Label	Wt	Deg	$\mathrm{dim}_{\mathbb{R}}$	$\mathrm{G}^0$	Name	$\mathrm{G}/\mathrm{G}^0$	$\mathrm{Pr}[t\!=\!0]$	$\mathrm{E}[a_1^2]$	$\mathrm{E}[a_1^4]$	$\mathrm{E}[a_1^6]$	$\mathrm{E}[a_1^8]$	$\mathrm{E}[a_1^{10}]$	$\mathrm{E}[a_1^{12}]$	$\mathrm{E}[a_2]$	$\mathrm{E}[a_2^2]$	$\mathrm{E}[a_2^3]$	$\mathrm{E}[a_2^4]$	$\mathrm{E}[a_2^5]$	$\mathrm{E}[a_2^6]$	$\mathrm{E}[a_3^2]$	$\mathrm{E}[a_3^4]$	$\mathrm{E}[a_3^6]$	Maximal	Rational	Diagonal
1.6.L.8.2c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_{4,1})$	$8$	$3/8$	$3$	$39$	$780$	$19075$	$521388$	$521388$	$2$	$10$	$77$	$754$	$8397$	$101047$	$13$	$1977$	$493540$		✓	$[1, 3, 7, 6, 13, 62, 63, 87, 143, 61, 43, 330, 380, 875, 1712, 860, 867, 2082, 1790, 513]$
1.6.L.8.5e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_2)$	$8$	$3/8$	$3$	$39$	$780$	$19075$	$521388$	$521388$	$2$	$11$	$80$	$763$	$8422$	$101117$	$14$	$1986$	$493640$		✓	$[1, 3, 8, 7, 14, 62, 65, 92, 145, 70, 44, 331, 390, 877, 1712, 873, 874, 2102, 1803, 539]$
1.6.L.8.5f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(C_2))$	$8$	$3/8$	$3$	$39$	$780$	$19075$	$521388$	$521388$	$2$	$12$	$83$	$774$	$8457$	$101229$	$15$	$2001$	$493860$		✓	$[1, 3, 9, 8, 15, 62, 67, 99, 149, 83, 45, 334, 402, 879, 1712, 890, 893, 2144, 1838, 595]$
1.6.L.8.5g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{2,1})$	$8$	$3/8$	$3$	$39$	$780$	$19075$	$521388$	$521388$	$3$	$14$	$90$	$794$	$8518$	$101411$	$15$	$2001$	$493860$		✓	$[1, 3, 9, 6, 15, 62, 63, 99, 143, 67, 43, 334, 380, 877, 1712, 862, 893, 2082, 1802, 515]$